2752512 has 72 divisors (see below), whose sum is σ = 8388576. Its totient is φ = 786432.

The previous prime is 2752499. The next prime is 2752513. The reversal of 2752512 is 2152572.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁶ + 7⁴ + 5³ + 2¹⁸ + 5⁸ + 1 + 2²¹ .

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (2752513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393213 + ... + 393219.

It is an arithmetic number, because the mean of its divisors is an integer number (116508).

2^2752512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194288).

2752512 is an abundant number, since it is smaller than the sum of its proper divisors (5636064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2752512 is an frugal number, since it uses more digits than its factorization.

2752512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 2752512 is about 1659.0696187924. The cubic root of 2752512 is about 140.1446124764.

The spelling of 2752512 in words is "two million, seven hundred fifty-two thousand, five hundred twelve".